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The Riemann surface for polylogarithms of half-integer index, which has the topology of an infinite dimensional hypercube, is studied in relation to one-dimensional KPZ universality in finite volume.
The KPZ universality class and related topics (2019),
A. Saenz, · 1904
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Integral formulas of ASEP and q-TAZRP on a ring (2019),
Z. Liu, A. Saenz and D. Wang, · 1905
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Multi-time distribution in discrete polynuclear growth (2019),
K. Johansson and M. Rahman, · 1906
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Multi-time distribution of TASEP (2019),
Z. Liu, · 1907
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KP governs random growth off a one dimensional substrate (2019),
J. Quastel and D. Remenik, · 1908
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Six-vertex model, roughened surfaces, and an asymmetric spin Hamiltonian ,
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Level-spacing distributions and the Airy kernel ,
C. Tracy and H. Widom, · 1994
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Algebro-geometric Approach in the Theory of Integrable Equations ,
E. Belokolos, A. Bobenko, V. Enolski, A. Its and V. Matveev, · 1994
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Kinetic roughening phenomena, stochastic growth, directed polymers and all that. Aspects of multidisciplinary statistical mechanics ,
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Algebro-geometric aspects of the Bethe equations ,
R. Langlands and Y. Saint-Aubin, · 1995
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Excited states by analytic continuation of TBA equations ,
P. Dorey and R. Tateo, · 1996
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Aspects combinatoires des équations de Bethe ,
R. Langlands and Y. Saint-Aubin, · 1997
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Exact large deviation function in the asymmetric exclusion process ,
B. Derrida and J. Lebowitz, · 1998
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Shape fluctuations and random matrices ,
K. Johansson, · 2000
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Limiting distributions for a polynuclear growth model with external sources ,
J. Baik and E. Rains, · 2000
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Probability distribution of the free energy of a directed polymer in a random medium ,
E. Brunet and B. Derrida, · 2000
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Scale invariance of the PNG droplet and the Airy process ,
M. Prähofer and H. Spohn, · 2002
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Nonequilibrium dynamics of a growing interface ,
H. Fogedby, · 2002
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Introduction to Classical Integrable Systems ,
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Riemann Surfaces of Infinite Genus ,
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Exact nonstationary probabilities in the asymmetric exclusion process on a ring ,
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The second Painlevé hierarchy and the stationary KdV hierarchy ,
N. Joshi, · 2004
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Critical resonance in the non-intersecting lattice path model ,
R. Kenyon and D. Wilson, · 2004
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Spatial correlations of the 1D KPZ surface on a flat substrate ,
T. Sasamoto, · 2005
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Spectral gap of the totally asymmetric exclusion process at arbitrary filling ,
O. Golinelli and K. Mallick, · 2005
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Scaling limit for the space-time covariance of the stationary totally asymmetric simple exclusion process ,
P. Ferrari and H. Spohn, · 2006
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Universal distribution functions in two-dimensional localized systems ,
A. Somoza, M. Ortuño and J. Prior, · 2007
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Fluctuation properties of the TASEP with periodic initial configuration ,
A. Borodin, P. Ferrari, M. Prähofer and T. Sasamoto, · 2007
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Nonequilibrium steady states of matrix-product form: a solver’s guide ,
R. Blythe and M. Evans, · 2007
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Integral formulas for the asymmetric simple exclusion process ,
C. Tracy and H. Widom, · 2008
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Total current fluctuations in the asymmetric simple exclusion process ,
C. Tracy and H. Widom, · 2009
Current fluctuations and large deviations for periodic TASEP on the relaxation scale ,
S. Prolhac, · 2015
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The completeness of the Bethe ansatz for the periodic ASEP (2015),
E. Brattain, N. Do and A. Saenz, · 2015
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Asymptotics for the norm of Bethe eigenstates in the periodic totally asymmetric exclusion process ,
S. Prolhac, · 2015
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The Kardar-Parisi-Zhang equation - a statistical physics perspective (2016),
H. Spohn, · 2016
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Renormalization group and stochastic PDEs ,
A. Kupiainen, · 2016
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Cited alongside, same era.
Current fluctuations of the one dimensional symmetric simple exclusion process with step initial condition ,
B. Derrida and A. Gerschenfeld, · 2009
Cited alongside, same era.
Resurgence of the fractional polylogarithms ,
O. Costin and S. Garoufalidis, · 2009
Cited alongside, same era.
Determinantal representation of the time-dependent stationary correlation function for the totally asymmetric simple exclusion model ,
N. Bogoliubov, · 2009
Cited alongside, same era.
A pedestrian’s view on interacting particle systems, KPZ universality and random matrices ,
T. Kriecherbauer and J. Krug, · 2010
Cited alongside, same era.
Limit process of stationary TASEP near the characteristic line ,
J. Baik, P. Ferrari and S. Péché, · 2010
Cited alongside, same era.
Canonical and grand canonical partition functions of Dyson gases as tau-functions of integrable hierarchies and their fermionic realization ,
A. Zabrodin, · 2010
Cited alongside, same era.
A. Borodin, I. Corwin and V. Gorin, · 2016
Later among the works it cites.
Finite-time fluctuations for the totally asymmetric exclusion process ,
S. Prolhac, · 2016
Later among the works it cites.
Dynamical phase transition in large-deviation statistics of the Kardar-Parisi-Zhang equation ,
M. Janas, A. Kamenev and B. Meerson, · 2016
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TASEP on a ring in sub-relaxation time scale ,
J. Baik and Z. Liu, · 2016
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Exact short-time height distribution in the one-dimensional Kardar-Parisi-Zhang equation and edge fermions at high temperature ,
P. Le Doussal, S. Majumdar, A. Rosso and G. Schehr, · 2016
Later among the works it cites.
Extrapolation methods and Bethe ansatz for the asymmetric exclusion process ,
S. Prolhac, · 2016
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Riemann Surfaces and Algebraic Curves: A First Course in Hurwitz Theory ,
R. Cavalieri and E. Miles, · 2016
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Quantum entanglement growth under random unitary dynamics ,
A. Nahum, J. Ruhman, S. Vijay and J. Haah, · 2017
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KPZ reloaded ,
M. Gubinelli and N. Perkowski, · 2017
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K. Matetski, J. Quastel and D. Remenik, · 2017
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Perturbative solution for the spectral gap of the weakly asymmetric exclusion process ,
S. Prolhac, · 2017
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On the distribution of the largest real eigenvalue for the real Ginibre ensemble ,
M. Poplavskyi, R. Tribe and O. Zaboronski, · 2017
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Return probability after a quench from a domain wall initial state in the spin-1/2 XXZ chain ,
J.-M. Stéphan, · 2017
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An appetizer to modern developments on the Kardar-Parisi-Zhang universality class ,
K. Takeuchi, · 2018
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Brownian bridges for late time asymptotics of KPZ fluctuations in finite volume ,
K. Mallick and S. Prolhac, · 2018
Later among the works it cites.
Fluctuations of TASEP on a ring in relaxation time scale ,
J. Baik and Z. Liu, · 2018
Later among the works it cites.
Height fluctuations of stationary TASEP on a ring in relaxation time scale ,
Z. Liu, · 2018
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Lectures on nonlinear integrable equations and their solutions (2018),
A. Zabrodin, · 2018
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Systematic time expansion for the Kardar-Parisi-Zhang equation, linear statistics of the GUE at the edge and trapped fermions ,
A. Krajenbrink, P. Le Doussal and S. Prolhac, · 2018
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J. Baik and T. Bothner, · 2018
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Lectures notes on compact Riemann surfaces (2018),
B. Eynard, · 2018
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Kardar-Parisi-Zhang physics in the quantum Heisenberg magnet ,
M. Ljubotina, M. Žnidarič and T. Prosen, · 2019
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Kardar-Parisi-Zhang universality of the Nagel-Schreckenberg model ,
J. de Gier, A. Schadschneider, J. Schmidt and G. Schütz, · 2019
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Multi-point distribution of periodic TASEP ,
J. Baik and Z. Liu, · 2019
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Non-crossing Brownian paths and Dyson Brownian motion under a moving boundary ,
T. Gautié, P. Le Doussal, S. Majumdar and G. Schehr, · 2019
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